Elastostatics with non absolutely continuous data

The main problem of classical elastostatics is considered when given body forces and surface forces act on the body. The problem is studied in the case when the given forces are represented by general vector measures, i.e. when concentrated loads may be given on subsets either of the body or of its boundary. An existence and uniqueness (up to rigid displacements) theorem is proved. Conditions under which the energy integral is finite are given.